Version 4
SHEET 1 3552 2820
WIRE 1920 -368 1792 -368
WIRE 1792 -320 1792 -368
WIRE 1920 -320 1920 -368
WIRE 1792 -192 1792 -240
WIRE 1920 -192 1920 -240
WIRE 1920 -192 1792 -192
WIRE 1792 -176 1792 -192
WIRE 1904 -48 1792 -48
WIRE 2288 -48 2160 -48
WIRE 1792 0 1792 -48
WIRE 2160 0 2160 -48
WIRE 2288 0 2288 -48
WIRE 1904 16 1904 -48
WIRE 1792 128 1792 80
WIRE 1904 128 1904 96
WIRE 1904 128 1792 128
WIRE 2160 128 2160 80
WIRE 2288 128 2288 80
WIRE 2288 128 2160 128
WIRE 1792 144 1792 128
WIRE 2160 144 2160 128
WIRE 1904 320 1776 320
WIRE 1776 368 1776 320
WIRE 1904 368 1904 320
WIRE 1776 496 1776 448
WIRE 1904 496 1904 448
WIRE 1904 496 1776 496
WIRE 1776 512 1776 496
WIRE 1904 704 1776 704
WIRE 1776 752 1776 704
WIRE 1904 752 1904 704
WIRE 1776 880 1776 832
WIRE 1904 880 1904 832
WIRE 1904 880 1776 880
WIRE 1776 896 1776 880
WIRE 1904 1168 1776 1168
WIRE 1776 1216 1776 1168
WIRE 1904 1216 1904 1168
WIRE 1776 1344 1776 1296
WIRE 1904 1344 1904 1296
WIRE 1904 1344 1776 1344
WIRE 1776 1360 1776 1344
WIRE 1888 2064 1776 2064
WIRE 1776 2112 1776 2064
WIRE 1888 2128 1888 2064
WIRE 1776 2240 1776 2192
WIRE 1888 2240 1888 2208
WIRE 1888 2240 1776 2240
WIRE 1776 2256 1776 2240
FLAG 1792 144 0
FLAG 2160 144 0
FLAG 1904 -48 pwr
FLAG 2288 -48 exp
FLAG 1792 -176 0
FLAG 1920 -368 lin
FLAG 1776 512 0
FLAG 1904 320 ntc_B
FLAG 1776 2256 0
FLAG 1888 2064 tbl1
FLAG 1776 896 0
FLAG 1904 704 ntc_ABC
FLAG 1776 1360 0
FLAG 1904 1168 tbl
SYMBOL RES 1888 0 R0
SYMATTR InstName R2
SYMATTR Value {R0} tce=-4.8
SYMBOL current 1792 80 R180
WINDOW 0 24 88 Left 0
WINDOW 3 24 0 Left 0
SYMATTR InstName I1
SYMATTR Value 1m
SYMBOL current 2160 80 R180
WINDOW 0 24 88 Left 0
WINDOW 3 24 0 Left 0
SYMATTR InstName I2
SYMATTR Value 1m
SYMBOL res 1904 -336 R0
SYMATTR InstName R1
SYMATTR Value {R0} tc1=-0.00392
SYMBOL current 1792 -240 R180
WINDOW 0 24 88 Left 0
WINDOW 3 24 0 Left 0
SYMATTR InstName I3
SYMATTR Value 1m
SYMBOL bi 2288 0 R0
SYMATTR InstName B1
SYMATTR Value I=V(exp,0)/{R0*exp(3988*(1/(TEMP+TK)-1/(T0+TK)))}
SYMBOL current 1776 448 R180
WINDOW 0 24 88 Left 0
WINDOW 3 24 0 Left 0
SYMATTR InstName I4
SYMATTR Value 1m
SYMBOL RES 1872 2112 R0
SYMATTR InstName R5
SYMATTR Value {TBL(TEMP, 0,32.65k, 15,15.71k, 25,10k, 35,6.53k, 50,3.603k)}
SYMBOL current 1776 2192 R180
WINDOW 0 24 88 Left 0
WINDOW 3 24 0 Left 0
SYMATTR InstName I5
SYMATTR Value 1
SYMBOL current 1776 832 R180
WINDOW 0 24 88 Left 0
WINDOW 3 24 0 Left 0
SYMATTR InstName I6
SYMATTR Value 1m
SYMBOL current 1776 1296 R180
WINDOW 0 24 88 Left 0
WINDOW 3 24 0 Left 0
SYMATTR InstName I7
SYMATTR Value 1m
SYMBOL Miscel\\ResNoLin 1888 352 R0
SYMATTR InstName R3
SYMATTR Value R0=10K B=3988
SYMATTR SpiceModel NTC_B
SYMBOL Miscel\\ResNoLin 1888 736 R0
WINDOW 3 46 97 Left 0
WINDOW 123 133 125 Center 0
WINDOW 39 133 153 Center 0
SYMATTR InstName R4
SYMATTR Value A=1.125293571e-3
SYMATTR SpiceModel NTC_STH
SYMATTR Value2 B=2.34714773e-4
SYMATTR SpiceLine C=8.56501894e-8
SYMBOL Miscel\\ResNoLin 1888 1200 R0
SYMATTR InstName R6
SYMATTR Value ""
SYMATTR SpiceModel NTC_TBL1
TEXT 1816 -584 Left 0 !;.STEP TEMP LIST  17  27 37 47
TEXT 1824 -544 Left 0 !.OP
TEXT 1816 -616 Left 0 !.STEP TEMP  0 50 1
TEXT 2240 -616 Left 0 !.OPTIONS TNOM={T0}
TEXT 2240 -576 Left 0 !.PARAM R0=10000\n*.PARAM B=3988\n.PARAM TK=273.15\n.PARAM T0=25
TEXT 1800 -416 Left 0 ;Copper wire
TEXT 1784 -96 Left 0 ;NTC 10k, B=3988
TEXT 2152 -96 Left 0 ;NTC  10k, B=3988
TEXT 2360 32 Left 0 ;NTC equivalent resistor
TEXT 904 -640 Left 0 ;NTC Resistors in LTSPICE       \n-----------------------------------------\n7/30/2004   Helmut Sennewald\n \nNo self heating included in the models.\n \nHint: The unit Ohm can be achieved on the y-axis if V(node)/1A is plotted.\n \ndT=TEMP-T0\nTEMP = T0 + dT\nT = TEMP+TK\nT0 is 27 degree for SPICE. It can be overwritten with e.g. ".OPTIONS TNOM=25".\nTK is 273.15 degree.\nR0 is resistance at a defined temperature, mostly 25 degree for NTC-resistors.\n \nLinear temperature dependence\n--------------------------------------------------\nFormula:  R = R0 * (1. + dT * tc1  + dT**2 * tc2 + ...\nExample:  Copper wire\n.PARAM R0=10\nR1 n1 n2 {R0} tc1=-0.00392\n \n \nX powered Y temperature dependence\n-------------------------------------------------------------\nDon't use this model for an NTC resistor, because this approx.  gives a\nresistance error of up to 10% at dT=50degree for a real world NTC-resistor.\n \nFormula:  R = R0*(1+tce/100)^dT \nExample:  NTC with B=3988\n.PARAM R0=10k\nR1 n1 n2 {R0} tce=-4.85"  \n \n \nExponential temperature dependence\n-----------------------------------------------------------\nThis is a very common formula used for NTC resistors.\nB is a material constant, e.g. B=3988\nB = T1*T2/(T2-T1)*ln(R1/R2)      R1, R2 is resistance at T1, T2\nR0 is resistance at T1 .\n \nFormula:  R = R0*exp(B*( 1/(TEMP+TK) - 1/(T0+TK) ))\nT = B/( ln(R/R0)+B/(T0+TK) )\nExample:  NTC with B=3988\n.PARAM R0=10000\n.PARAM B=3988\n.PARAM TK=273.15\n.PARAM T0=25\n*R1 n1 n2 {R0*exp(B*( 1/(TEMP+TK) - 1/(TNOM+TK) ))}\nReplace resistor R1 by a voltage controlled current source B1(Bi-source)\nB1 n1 n2  I=V(n1,n2)/{R0*exp(3988*(1/(TEMP+TK)-1/(T0+TK)))}\n \n \nExponential temperature dependence, Steinhart-Hart\n-------------------------------------------------------------------------------\nThis is a very common formula useful for high precision NTC measurement.\nT is in Kelvin of course.\nT = 1/(A + B*ln(R) + C*(ln(R))^3)\n(ILX use scaled values in their temperature controllers.\nC1=A*1e3, C2=B*1e4, C3=C*1e7)\nAt least 3 temperature points are needed for evaluation of the coefficients.\nOften a least square error fit is used for even higher precision.\n \nFormula:\nR(T) = exp( (y-x/2)^(1/3) -(y+x/2)^(1/3) )\nwith x=(A-1/T)/C   y=sqrt( (B/(3*C))^3 + x^2/4 )\n \n \nArbitrary temperature dependence\n-----------------------------------------------------\nFormula: R=f(table)\nExample:\nR1 n1 n2  {TBL(TEMP, 0,32.65k, 15,15.71k, 25,10k, 35,6.53k, 50,3.603k)}\n \nEPCOS Miniature Sensor  S861 (B57861)\ndelta_th=1.5mW/K  tau_c=15s  Cth=22.5mJ/K\nRT-Curve Number 8016\nB25/100 = 3988K   2-points: 25, 100degree\nSteinhart-Hart: 3-points: 0, 25, 100degree\nA=1.125293571e-3\nB=2.34714773e-4\nC=8.56501894e-8\n \n \n   T (°C)    RT/R25   (%/K)\n   -55.0,    96.30  ,  7.4\n   -50.0,    67.01  ,  7.2\n   -45.0,    47.17  ,  6.9\n   -40.0,    33.65  ,  6.7\n   -35.0,    24.26  ,  6.4\n   -30.0,    17.70  ,  6.2\n   -25.0,    13.04  ,  6.0\n   -20.0,    9.707  ,  5.8\n   -15.0,    7.293  ,  5.6\n   -10.0,    5.533  ,  5.5\n    -5.0,    4.232  ,  5.3\n     0.0,    3.265  ,  5.1\n     5.0,    2.539  ,  5.0\n    10.0,    1.990  ,  4.8\n    15.0,    1.571  ,  4.7\n    20.0,    1.249  ,  4.5\n    25.0,    1.000  ,  4.4\n    30.0,    0.8057 ,  4.3\n    35.0,    0.6531 ,  4.1\n    40.0,    0.5327 ,  4.0\n    45.0,    0.4369 ,  3.9\n    50.0,    0.3603 ,  3.8\n    55.0,    0.2986 ,  3.7\n    60.0,    0.2488 ,  3.6\n    65.0,    0.2083 ,  3.5\n    70.0,    0.1752 ,  3.4\n    75.0,    0.1481 ,  3.3\n    80.0,    0.1258 ,  3.2\n    85.0,    0.1072 ,  3.2\n    90.0,    0.09177,  3.1\n    95.0,    0.07885,  3.0\n   100.0,    0.06800,  2.9\n   105.0,    0.05886,  2.9\n   110.0,    0.05112,  2.8\n   115.0,    0.04454,  2.7\n   120.0,    0.03893,  2.6\n   125.0,    0.03417,  2.6\n   130.0,    0.03009,  2.5\n   135.0,    0.02654,  2.5
TEXT 2152 312 Left 0 !.SUBCKT NTC_B 1 2  R0={R0} B={B}\n*.PARAM R0=10000  resistance @25degree\n*.PARAM B=3988  material constant\n.PARAM TK=273.15\n.PARAM T0=25\nRP 1 2 1G\nB1 1 2  I=V(1,2)/{R0*exp(B*(1/(TEMP+TK)-1/(T0+TK)))}\n.ENDS
TEXT 1776 264 Left 0 ;NTC 10k, B=3988
TEXT 1768 2016 Left 0 ;NTC 10k, B=3988  with coarse table from EPCOS
TEXT 1776 648 Left 0 ;NTC 10k, B=3988 with Steinhart-Hart
TEXT 2160 688 Left 0 !.SUBCKT NTC_STH 1 2   A={A} B={B} C={C}\n.PARAM TK=273.15\n.PARAM T0=25\n.PARAM T=TK+TEMP\n.PARAM x=(A-1/T)/C \n.PARAM y=sqrt( (B/(3*C))**3 + x**2/4 )\n.PARAM RT = exp( (y-x/2)**(1/3) -(y+x/2)**(1/3) )\nRP 1 2 1G\nB1 1 2  I=V(1,2)/{RT}\n.ENDS
TEXT 1776 1112 Left 0 ;NTC 10k, B=3988 with full table from EPCOS
TEXT 2168 1168 Left 0 !.SUBCKT NTC_TBL1 1 2   \nR1 1 2  {10k*TBL(TEMP, \n+    -5.0,    4.232  ,\n+     0.0,    3.265  ,\n+     5.0,    2.539  ,\n+    10.0,    1.990  ,\n+    15.0,    1.571  ,\n+    20.0,    1.249  ,\n+    25.0,    1.000  ,\n+    30.0,    0.8057 ,\n+    35.0,    0.6531 ,\n+    40.0,    0.5327 ,\n+    45.0,    0.4369 ,\n+    50.0,    0.3603 ,\n+    55.0,    0.2986 ,\n+    60.0,    0.2488 ,\n+    65.0,    0.2083 ,\n+    70.0,    0.1752 ,\n+    75.0,    0.1481 ,\n+    80.0,    0.1258 ,\n+    85.0,    0.1072 ,\n+    90.0,    0.09177,\n+    95.0,    0.07885,\n+   100.0,   0.0680,\n+   105.0,    0.05886)}\n.ENDS
TEXT 1648 2432 Left 0 ;Some links:\nhttp://www.epcos.com/web/home/html/home_e.html\nhttp://www.betatherm.com/\nhttp://www.ysi.com/extranet/TEMPKL.nsf/Nav1EntryPoint/TechSupport?OpenDocument\nhttp://www.alphasensors.com/technical.html\nhttp://www.ilxlightwave.com/productData/appnotes/Application%20Note%204.PDF
RECTANGLE Normal 2352 112 2224 -32 2